Book on finite group theory, containing a sufficient number of examples

Question

I read M.Isaacs book on finite group theory now and I find it quite interesting and well written. But also I feel that there are not enough examples (for me) in this book.

Maybe there is another book wich can be used to complement Isaacs book which contain enough examples? Or maybe there are resources, where one can find interesting and demonstrative examples concerning finite groups?

Answer 1

Why not try one of the following:

John S. Rose, A Course on Group Theory

Derek J.S. Robinson, A Course in The Theory of Groups

Dummit and Foote, Abstract Algebra.

Each of these books has a lot of good examples and exercises!

Answer 2

Groups: A Path to Geometry by R.P. Burn is an introduction to group theory that consists entirely of examples, problems and solutions.

Schaum's Outline of Group Theory by B. Baumslag contains lots of examples and problems with solutions.

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys by David Joyner is built around a series of concrete examples and applications of groups.

Answer 3

A very literal answer: Michael Weinstein has a book called Examples of groups.

Answer 4

I prefer, the following books for group theory in order.

1. Abstract Algebra by "Dummit & Foote", Wiley publication.

2. A course in Abstract Algebra By, "khanna and Bhambri", vikas publication.

3. Contemporary Abstract Algebra By "Gallian".

If you want, classic text with lots of examples prefer, (1) and (3) and if you want lots of solved examples prefer (2). In (2) there are lots of solved examples, covering all topics, groups, rings, fields, In fact on linear transformations too.